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On Mean Value Forms for Complex Functions
Author(s) -
Neher M.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310206
Subject(s) - mathematics , value (mathematics) , range (aeronautics) , convergence (economics) , quadratic equation , computation , interval (graph theory) , mean value , interval arithmetic , mathematical analysis , combinatorics , algorithm , statistics , geometry , bounded function , materials science , economics , composite material , economic growth
The mean value form is a well‐known interval arithmetic means to compute tight range bounds for real functions. In this paper, the mean value form is extended for the computation of range bounds for complex analytic functions, both for rectangular and for circular complex intervals. Quadratic convergence and inclusion isotonicity of the complex mean value forms are discussed.